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Simplifying 26x2 + -53x + 21 = 0 Reorder the terms: 21 + -53x + 26x2 = 0 Solving 21 + -53x + 26x2 = 0 Solving for variable 'x'. Factor a trinomial. (7 + -13x)(3 + -2x) = 0Subproblem 1
Set the factor '(7 + -13x)' equal to zero and attempt to solve: Simplifying 7 + -13x = 0 Solving 7 + -13x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -13x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -13x = 0 + -7 -13x = 0 + -7 Combine like terms: 0 + -7 = -7 -13x = -7 Divide each side by '-13'. x = 0.5384615385 Simplifying x = 0.5384615385Subproblem 2
Set the factor '(3 + -2x)' equal to zero and attempt to solve: Simplifying 3 + -2x = 0 Solving 3 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 0 + -3 -2x = 0 + -3 Combine like terms: 0 + -3 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5Solution
x = {0.5384615385, 1.5}
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